2011 | OriginalPaper | Buchkapitel
Construction of Explicit Optimal Value Functions by a Symbolic-Numeric Cylindrical Algebraic Decomposition
verfasst von : Hidenao Iwane, Akifumi Kira, Hirokazu Anai
Erschienen in: Computer Algebra in Scientific Computing
Verlag: Springer Berlin Heidelberg
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Recently parametric treatment of constraint solving and optimization problems has received considerable attention in science and engineering. In this paper we show an efficient and systematic algorithm for parametric programming,
i.e.
computing exact optimal value functions, based on a specialized symbolic-numeric cylindrical algebraic decomposition. We also present some practical application examples from system and control theory.